Elliptic curve isogeny class data - 27885.r

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• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 1, -1, -1, 1, -1, -5, -3, 1, 1, 1, 1, 0, -5, -1, -1, 0, 1, -6, -1], 'aplist': [1, -1, 1, -5, 1, 0, 0, -6, 1, -1, -3, 8, -5, -1, -1, -9, 0, 8, -2, -8, 11, 10, 14, 14, 12], 'class_deg': 7, 'class_size': 2, 'conductor': 27885, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '27885.r', 'trace_hash': 1350642222169738128}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1337427
    {'lmfdb_iso': '27885.r', 'p': 7, 'prec': 20, 'unit': 39565485000101978, 'val': 0}
  • id: 1337423
    {'lmfdb_iso': '27885.r', 'p': 19, 'prec': 20, 'unit': 525527090182183700461979, 'val': 1}
  • id: 1337435
    {'lmfdb_iso': '27885.r', 'p': 23, 'prec': 20, 'unit': 103271924914557587867193699, 'val': -1}
  • id: 1337430
    {'lmfdb_iso': '27885.r', 'p': 29, 'prec': 20, 'unit': 2904190643583103539660310120, 'val': 1}
  • id: 1337440
    {'lmfdb_iso': '27885.r', 'p': 31, 'prec': 20, 'unit': 8611023851930447416469491799, 'val': 1}
  • id: 1337426
    {'lmfdb_iso': '27885.r', 'p': 37, 'prec': 20, 'unit': 384428413345820467875846499039, 'val': 1}
  • id: 1337428
    {'lmfdb_iso': '27885.r', 'p': 41, 'prec': 20, 'unit': 1070037837636440317312568475653, 'val': 1}
  • id: 1337429
    {'lmfdb_iso': '27885.r', 'p': 43, 'prec': 20, 'unit': 7507321950036396949364480113234, 'val': 1}
  • id: 1337431
    {'lmfdb_iso': '27885.r', 'p': 47, 'prec': 20, 'unit': 51945913155665243800309946971780, 'val': 1}
  • id: 1337433
    {'lmfdb_iso': '27885.r', 'p': 53, 'prec': 20, 'unit': 242211843189880753720574011981386, 'val': 1}
  • id: 1337439
    {'lmfdb_iso': '27885.r', 'p': 61, 'prec': 20, 'unit': 1829424942680174912463355984198261, 'val': 1}
  • id: 1337425
    {'lmfdb_iso': '27885.r', 'p': 67, 'prec': 20, 'unit': 35174288512853185729148472783141765, 'val': 1}
  • id: 1337437
    {'lmfdb_iso': '27885.r', 'p': 71, 'prec': 20, 'unit': 124429430475938095481641152995694248, 'val': 1}
  • id: 1337434
    {'lmfdb_iso': '27885.r', 'p': 73, 'prec': 20, 'unit': 246326946610245988263763303759540225, 'val': 1}
  • id: 1337438
    {'lmfdb_iso': '27885.r', 'p': 79, 'prec': 20, 'unit': 256095737214053354806777800828451973, 'val': 1}
  • id: 1337432
    {'lmfdb_iso': '27885.r', 'p': 83, 'prec': 20, 'unit': 1560629749318121924724050261465226882, 'val': 1}
  • id: 1337436
    {'lmfdb_iso': '27885.r', 'p': 89, 'prec': 20, 'unit': 3859404055696562999069509770584164237, 'val': 1}
  • id: 1337424
    {'lmfdb_iso': '27885.r', 'p': 97, 'prec': 20, 'unit': 10527446760297676768973230346410289292, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 185098
    {'Ciso': '27885n', 'Clabel': '27885n2', 'Cnumber': 2, 'abc_quality': 0.9920503162130363, 'absD': 173825866087627982085, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 30030, 'ainvs': [1, 1, 0, -32532672, -71432034201], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 27885, 'degree': 2568384, 'elladic_images': ['7.16.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9595744769129143598495573786', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 17, 'isogeny_degrees': [1, 7], 'jinv': [4668056654282578921, 213092214885], 'lmfdb_iso': '27885.r', 'lmfdb_label': '27885.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -192501, -32587482], 'min_quad_twist_disc': 13, 'modell_images': ['7B.2.3'], 'modm_images': ['7.16.0-7.a.1.1', '91.48.0.?', '330.2.0.?', '2310.32.0.?', '30030.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9398149371340879315402784547', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 9295], [5, 6, 5577], [7, 2, 845], [11, 12, 2535], [13, 74, 165]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2496082386052232024805657509', 'prec': 100}, 'szpiro_ratio': 6.204360696894315, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 185097
    {'Ciso': '27885n', 'Clabel': '27885n1', 'Cnumber': 1, 'abc_quality': 0.9880067271115119, 'absD': 2103055765078125, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 30030, 'ainvs': [1, 1, 0, -621247, 188199484], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 27885, 'degree': 366912, 'elladic_images': ['7.16.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9866194023852577072968810069', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 7], 'jinv': [32506551525721, 2578125], 'lmfdb_iso': '27885.r', 'lmfdb_label': '27885.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3676, 84248], 'min_quad_twist_disc': 13, 'modell_images': ['7B.2.1'], 'modm_images': ['7.16.0-7.a.1.2', '91.48.0.?', '330.2.0.?', '2310.32.0.?', '30030.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.41997356244772684736289692210', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 4, 9295], [5, 6, 5577], [7, 2, 5577], [11, 12, 2535], [13, 74, 165]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27665316407756654992788937919', 'prec': 103}, 'szpiro_ratio': 5.0442402871298, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}